4317 ÷ 6 = 719 R3
Let's divide 4317 by 6.

Step 1:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 2:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 42 from 43 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 3:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 71
Subtract 6 from 11 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 4:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 719
Subtract 54 from 57 to get 3.

The final result is 719 with a remainder of 3.